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Finding the Fourth Proportional to 202,564.40, 303,603.60 and 84,174.80

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Solution

The fourth proportional to 202,564.40, 303,603.60 and 84,174.80 is: 126,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,564.40 : 303,603.60 = 84,174.80 : x
  2. Step 2: Convert to fraction form
    202,564.40/303,603.60 = 84,174.80/x
  3. Step 3: Cross multiply
    202,564.40x = 303,603.60 × 84,174.80
  4. Step 4: Simplify right side
    202,564.40x = 25,555,772,309.28
  5. Step 5: Solve for x
    x = 25,555,772,309.28/202,564.40
  6. Step 6: Final answer
    x = 126,161.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.